November 20, 1970 |
New York City
University of Michigan
|Alma mater||Harvard University|
|Doctoral advisor||Andrew Wiles|
|Doctoral students||Bryden Cais
Conrad's most famous accomplishment is his work on proving the modularity theorem, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with Christophe Breuil, Fred Diamond and Richard Taylor, while holding a joint postdoctoral position at Harvard University and the Institute for Advanced Study in Princeton, New Jersey.
Conrad got his bachelor's degree from Harvard in 1992, where he won a prize for his undergraduate thesis. He did his doctoral work under Andrew Wiles. He received his Ph.D. from Princeton University in 1996 with a dissertation entitled Finite Honda Systems And Supersingular Elliptic Curves. He was also featured as an extra in Nova's The Proof.
- Brian Conrad at the Mathematics Genealogy Project
- Homepage at Stanford University
- On the modularity of elliptic curves over Q - Proof of Taniyama-Shimura coauthored by Conrad.
- Brian Conrad, Fred Diamond, Richard Taylor: Modularity of certain potentially Barsotti-Tate Galois representations, Journal of the American Mathematical Society 12 (1999), pp. 521–567. Also contains the proof
- C. Breuil, B. Conrad, F. Diamond, R. Taylor : On the modularity of elliptic curves over Q: wild 3-adic exercises, Journal of the American Mathematical Society 14 (2001), 843-939.